2019
DOI: 10.1109/tsg.2018.2802723
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Coupling Load-Following Control With OPF

Abstract: In this paper, the optimal power flow (OPF) problem is augmented to account for the costs associated with the loadfollowing control of a power network. Load-following control costs are expressed through the linear quadratic regulator (LQR). The power network is described by a set of nonlinear differential algebraic equations (DAEs). By linearizing the DAEs around a known equilibrium, a linearized OPF that accounts for steadystate operational constraints is formulated first. This linearized OPF is then augmente… Show more

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Cited by 12 publications
(5 citation statements)
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“…In the traditional optimal power system dispatching methods, the optimal power flow (OPF) can directly achieve the optimal computation of dispatching schemes under various constraints. Moreover, the operational optimization with more controllable variables can also be considered in OPF (Bazrafshan et al, 2019;Nojavan and Seyedi, 2020;Davoodi et al, 2021).…”
Section: Intelligent Dispatching Problem Of Power Systemmentioning
confidence: 99%
“…In the traditional optimal power system dispatching methods, the optimal power flow (OPF) can directly achieve the optimal computation of dispatching schemes under various constraints. Moreover, the operational optimization with more controllable variables can also be considered in OPF (Bazrafshan et al, 2019;Nojavan and Seyedi, 2020;Davoodi et al, 2021).…”
Section: Intelligent Dispatching Problem Of Power Systemmentioning
confidence: 99%
“…Readers are referred to Appendix C for the proof of Proposition 1. In contrast to matrix inequality (11), the one given in (12) constitutes an LMI and therefore can be easily solved through standard convex optimization packages.…”
Section: B Stabilization Of Power Network's Ndaesmentioning
confidence: 99%
“…The study [12] combines the optimal power flow problem with LFC using linear quadratic regulator (LQR). Recently, a method developed using the notion of L ∞ stability is proposed in [13] to implement a robust control architecture for LRFC in power systems.…”
Section: Introductionmentioning
confidence: 99%
“…In this paper, we focus on the small-signal stability of uncertain power systems. By linearizing (1) and (2) around the operating point {x 0 si , u 0 si , a 0 si }, we obtain the following dynamics of the small-signal system, with ∆x s := x(t) − x 0 ∆ ẋsi = A si ∆x si + B si ∆u si + D si ∆a si (3) where A si , B si , D si are the Jacobian matrices corresponding to the linearization of the dynamics of synchronous generator i around the operating point {x 0 si , u 0 si , a 0 si }. Similarly, (2) can be linearized around {x 0 si , u 0 si , a 0 si } as follows…”
Section: A Synchronous Generator Modelmentioning
confidence: 99%
“…Case studies are presented showcasing the performance of the L∞ controllers in comparison with automatic generation control and H∞ control methods. studies the design of grid operating points for generators with lower operational costs and desirable stability properties [2], [3]. The third category pertains to the design of economic incentives and demand-response methods that drive users to consume less energy, thereby impacting the overall grid generation and the stability of the grid [4].…”
mentioning
confidence: 99%